库仑土压力计算新方法——扫描搜索法

库仑土压力理论是解决土压力问题的最简途径之一,但传统的计算方法公式繁多、工作量大,且不适用于复杂坡面的情况。为解决该问题,提出一种快速求解库仑主动土压力的新方法——扫描搜索法。该方法无需先求取破裂角,而是以墙背某一点为起点,以该点到坡面线的连线为破裂面,按照一定间距变化地面上各点扫描墙后土体,得到所有可能的破裂面,利用坐标求取破裂棱体的自重及形心,根据推导的库仑土压力计算通式计算土压力的大小和作用点的位置,最终搜索出最大土压力。利用该方法结合计算机编程,可快速准确地计算各种复杂坡面荷载及工况下的墙背土压力。算例对比表明,该方法所得结果与库仑公式法所得结果基本一致。

A new calculation method of Coulumb's earth pressure——scan-search method

Coulomb’s earth pressure theory is one of the simplest ways to solve the problem of earth pressure,but the traditional formula is complex,heavy loaded and not suitable for the complex earth-fill surface.In order to solve this problem,a new calculation method was proposed which named scan-search method.This method did not need to calculate the rupture angle first,but took the line from the starting point at the retaining wall foot to the ground line as the rupture surface,scans the earth-fill according to the ground points at the certain interval,and then obtained all possible rupture surfaces.The coordinates were usedto calculate weight and shape center of the rupture prism.According to the Coulomb’s general formula,the earth pressure and the position of acting point were calculated,and then the maximum earth pressure or the maximum overturning moment was obtained by searching.Combined with computer programming,this method can calculate the retaining wall pressure quickly and accurately under the condition of complex earth-fill surface and different load form.The comparison of examples shows that the results of this method are basically consistent with those of Coulomb formula method.